Find the LCM of 463, 473, 699, 408 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 463, 473, 699, 408. So, keep reading to learn more.
Given numbers are 463,473,699,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,473,699,408 is 20818920936.
Find LCM of 463,473,699,408 with Prime Factorization
3 | 463, 473, 699, 408 |
463, 473, 233, 136 |
Multiply the prime numbers at the bottom and the left side.
3 x 463 x 473 x 233 x 136 = 20818920936
Therefore, the lowest common multiple of 463,473,699,408 is 20818920936.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
463 x 473 x 699 x 408 = 62456762808
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
463 : 1, 463
473 : 1, 11, 43, 473
699 : 1, 3, 233, 699
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,473,699,408, is 1.
Now, the common factors can be found like this.
463:463
473:11x 43
699:3x 233
408:2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 62456762808/(1x3)
LCM = 62456762808/3
LCM = 20818920936
Thus, we can understand that the LCM of 463,473,699,408 is 20818920936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 473, 699, 408?
Answer: LCM of 463, 473, 699, 408 is 20818920936.
2. How to calculate the LCM of 463, 473, 699, 408?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 463, 473, 699, 408.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.